{"id":168310,"date":"2024-11-17T07:23:21","date_gmt":"2024-11-17T07:23:21","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=168310"},"modified":"2024-11-17T07:23:28","modified_gmt":"2024-11-17T07:23:28","slug":"what-expression-is-equivalent-to-3-to-the-5th-power","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/17\/what-expression-is-equivalent-to-3-to-the-5th-power\/","title":{"rendered":"What expression is equivalent to 3 to the 5th power"},"content":{"rendered":"\n<p>What expression is equivalent to 3 to the 5th power?<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The expression that is equivalent to ( 3^5 ) is:<\/p>\n\n\n\n<p>[<br>3^5 = 3 \\times 3 \\times 3 \\times 3 \\times 3<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>The notation ( 3^5 ) is an example of an exponentiation, where <strong>3<\/strong> is the <strong>base<\/strong> and <strong>5<\/strong> is the <strong>exponent<\/strong> (or power). This expression indicates that 3 should be multiplied by itself a total of 5 times. In mathematical terms:<\/p>\n\n\n\n<p>[<br>3^5 = 3 \\times 3 \\times 3 \\times 3 \\times 3<br>]<\/p>\n\n\n\n<p>This process of multiplying a number by itself multiple times is called <strong>repeated multiplication<\/strong>. Each time we multiply 3 by itself, we are increasing the power or exponent by one.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Step-by-Step Breakdown:<\/h4>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Start with the base number ( 3 ).<\/li>\n\n\n\n<li>Multiply ( 3 \\times 3 = 9 ).<\/li>\n\n\n\n<li>Multiply ( 9 \\times 3 = 27 ).<\/li>\n\n\n\n<li>Multiply ( 27 \\times 3 = 81 ).<\/li>\n\n\n\n<li>Finally, multiply ( 81 \\times 3 = 243 ).<\/li>\n<\/ol>\n\n\n\n<p>Thus, ( 3^5 = 243 ).<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Key Concepts:<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Base<\/strong>: The number that is being multiplied, which is 3 in this case.<\/li>\n\n\n\n<li><strong>Exponent<\/strong>: The number that tells you how many times to multiply the base by itself. Here, the exponent is 5.<\/li>\n\n\n\n<li><strong>Exponentiation<\/strong>: This is a shorthand for repeated multiplication. Instead of writing out the long multiplication process, we can express it with a base and an exponent. For example, ( 3^5 ) is more efficient than writing out ( 3 \\times 3 \\times 3 \\times 3 \\times 3 ).<\/li>\n<\/ul>\n\n\n\n<p>Exponentiation is a powerful tool in mathematics, especially for dealing with large numbers. It is also a foundational concept in algebra, number theory, and calculus, making it an essential skill to master.<\/p>\n\n\n\n<p>Thus, the expression ( 3^5 ) simplifies to 243.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What expression is equivalent to 3 to the 5th power? The Correct Answer and Explanation is: The expression that is equivalent to ( 3^5 ) is: [3^5 = 3 \\times 3 \\times 3 \\times 3 \\times 3] Explanation: The notation ( 3^5 ) is an example of an exponentiation, where 3 is the base and [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-168310","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168310","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=168310"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168310\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=168310"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=168310"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=168310"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}